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853198740 = 22325311071429
BaseRepresentation
bin110010110110101…
…100011110010100
32012110102222122100
4302312230132110
53221404324430
6220355002100
730100032612
oct6266543624
92173388570
10853198740
113a8676929
121b9899330
131079bb234
14814566b2
154ed84960
hex32dac794

853198740 has 144 divisors (see below), whose sum is σ = 2698375680. Its totient is φ = 217969920.

The previous prime is 853198721. The next prime is 853198741. The reversal of 853198740 is 47891358.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853198741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596346 + ... + 597774.

It is an arithmetic number, because the mean of its divisors is an integer number (18738720).

Almost surely, 2853198740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853198740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349187840).

853198740 is an abundant number, since it is smaller than the sum of its proper divisors (1845176940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

853198740 is a wasteful number, since it uses less digits than its factorization.

853198740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 853198740 is about 29209.5658988627. The cubic root of 853198740 is about 948.4550104371.

The spelling of 853198740 in words is "eight hundred fifty-three million, one hundred ninety-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 107 124 155 180 186 214 279 310 321 372 428 465 535 558 620 642 930 963 1070 1116 1284 1395 1429 1605 1860 1926 2140 2790 2858 3210 3317 3852 4287 4815 5580 5716 6420 6634 7145 8574 9630 9951 12861 13268 14290 16585 17148 19260 19902 21435 25722 28580 29853 33170 39804 42870 44299 49755 51444 59706 64305 66340 85740 88598 99510 119412 128610 132897 149265 152903 177196 199020 221495 257220 265794 298530 305806 398691 442990 458709 531588 597060 611612 664485 764515 797382 885980 917418 1328970 1376127 1529030 1594764 1834836 1993455 2293545 2657940 2752254 3058060 3986910 4587090 4739993 5504508 6880635 7973820 9174180 9479986 13761270 14219979 18959972 23699965 27522540 28439958 42659937 47399930 56879916 71099895 85319874 94799860 142199790 170639748 213299685 284399580 426599370 853198740